Results 11 to 20 of about 1,640,648 (241)

Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation

Mathematics, 2022
In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
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Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]

, 2010
summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M., Szederkényi, Gábor, Hangos, Katalin, Rozgonyi, Szabolcs   +3 more
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A Lyapunov functional for a system with both lumped and distributed delay

Archives of Control Sciences, 2017
In the paper construction of a Lyapunov functional for time delay system with both lumped and distributed delay is presented. The Lyapunov functional is determined by means of the Lyapunov matrix.
Duda Jozef
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Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]

, 1997
The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
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The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system

Journal of Inequalities and Applications, 2019
The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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State Estimation for Standard Neural Network Models with Time-Varying Delays

Complexity, 2022
The paper deals with the issue of state estimation for standard neural network models with time-varying delays. A new augmented vector with the derivative of the state is introduced in the Lyapunov–Krasovskii functional. The state estimation criteria are
Jin Zhu, Tai-Fang Li, Huanqing Wang
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Construction of an iterative method for solving a class of complex symmetric generalized Lyapunov matrix equation and application to Helmholtz equation [PDF]

AUT Journal of Mathematics and Computing
The Lyapunov matrix equations occur in many branches of control theory, such as stability analysis and optimal control. In this work, we introduce a novel iterative approach to address the generalized Lyapunov matrix equation within the framework of ...
Akbar Shirilord, Mehdi Dehghan
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Bound on Lyapunov exponent in $$c=1$$ c=1 matrix model

European Physical Journal C: Particles and Fields, 2020
Classical particle motions in an inverse harmonic potential show the exponential sensitivity to initial conditions, where the Lyapunov exponent $$\lambda _L$$ λL is uniquely fixed by the shape of the potential. Hence, if we naively apply the bound on the
Takeshi Morita
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Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks

Advances in Difference Equations, 2021
In this paper, we focus on the synchronization of fractional-order coupled neural networks (FCNNs). First, by taking information on activation functions into account, we construct a convex Lur’e–Postnikov Lyapunov function.
Fengxian Wang, Fang Wang, Xinge Liu
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Nonexistence of Lyapunov exponents for matrix cocycles [PDF]

Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2017
It follows from Oseledec Multiplicative Ergodic Theorem that the Lyapunov-irregular set of points for which the Oseledec averages of a given continuous cocycle diverge has zero measure with respect to any invariant probability measure. In strong contrast, for any dynamical system $f:X\rightarrow X$ with exponential specification property and a H$\ddot{\
openaire   +3 more sources